Statistically similar representative microstructures in elasto-plasticity

弹塑性统计上相似的代表性微观结构

• 批准号: 35757500
• 负责人: Professor Dr.-Ing. Jörg Schröder
• 金额: --
• 依托单位: Institut für Mechanik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2007
• 资助国家: 德国
• 起止时间: 2006-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/35757500?language=en
• 关键词: Statistically; similar; representative; microstructures; elasto

Micro-heterogeneous high-tech steels enable ambitious engineering constructions. For the design of such random multi-phase microstructures numerical simulation procedures are important for the reliable prediction of the overall response of macroscopic boundary value problems. Direct homogenization schemes, which are designed for such kind of problems, can only be efficient if the complex random microstructure is approximated by significantly less complex representative volume elements (RVEs) capturing the basic morphological attributes of the microscale. This is the main task in the project, where several statistical measures (spectral-density, lineal-path function, Minkowski valuations, etc.) are applied for the construction of statistically similar RVEs (SSRVEs) A main challenge in this period is the design of three-dimensional SSRVEs based on the Electron- Backscatter Diffraction (EBSD) combined with Focused-Ion-Beam (FIB) measurements. The performance of the direct homogenization approach using the constructed SSRVEs is analyzed for representative macroscopic deep-drawing processes.

微型外科高科技钢可实现雄心勃勃的工程结构。为了设计此类随机多相微结构的数值模拟程序对于可靠的宏观边界价值问题的总体响应非常重要。仅当复杂的随机微观结构被捕获显微镜的基本形态学属性而近似复杂的代表性元素（RVE）近似时，才能为这种问题设计的直接均质化方案才能有效。这是项目中的主要任务，在该项目中，将多种统计措施（光谱密度，线性路径函数，Minkowski估值等）用于构建此期间的统计上相似的RVE（SSRVE）（SSRVE）的主要挑战是基于ElectRon-Back-Scast-Scast-Scast-Scast-Scast-Back-fiffaction fiffaction（EBSD）组合（EBSD）组合型（Fib）（FIBSED-IIN）设计的三维SSRVE的设计。分析了使用构造的SSRVE的直接均质化方法的性能，以进行代表性的宏观绘制过程。